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66886743 = 371132393
BaseRepresentation
bin1111111100100…
…1110001010111
311122212012100210
43333021301113
5114110333433
610345340503
71441346040
oct377116127
9148765323
1066886743
1134835000
121a497733
1310b1b771
148c518c7
155d13463
hex3fc9c57

66886743 has 32 divisors (see below), whose sum is σ = 112154112. Its totient is φ = 34731840.

The previous prime is 66886741. The next prime is 66886753. The reversal of 66886743 is 34768866.

It is a happy number.

It is not a de Polignac number, because 66886743 - 21 = 66886741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66886692 and 66886701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66886741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26755 + ... + 29147.

It is an arithmetic number, because the mean of its divisors is an integer number (3504816).

Almost surely, 266886743 is an apocalyptic number.

66886743 is a deficient number, since it is larger than the sum of its proper divisors (45267369).

66886743 is a wasteful number, since it uses less digits than its factorization.

66886743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2414 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 66886743 is about 8178.4315733519. The cubic root of 66886743 is about 405.9258258698.

It can be divided in two parts, 6688 and 6743, that added together give a palindrome (13431).

The spelling of 66886743 in words is "sixty-six million, eight hundred eighty-six thousand, seven hundred forty-three".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 1331 2393 2541 3993 7179 9317 16751 26323 27951 50253 78969 184261 289553 552783 868659 2026871 3185083 6080613 9555249 22295581 66886743